Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

Average Error: 0.0 → 0.0

Time: 848.0ms

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

C

double f(double x, double y, double z, double t) {
        double r714387 = 1.0;
        double r714388 = 8.0;
        double r714389 = r714387 / r714388;
        double r714390 = x;
        double r714391 = r714389 * r714390;
        double r714392 = y;
        double r714393 = z;
        double r714394 = r714392 * r714393;
        double r714395 = 2.0;
        double r714396 = r714394 / r714395;
        double r714397 = r714391 - r714396;
        double r714398 = t;
        double r714399 = r714397 + r714398;
        return r714399;
}

↓

double f(double x, double y, double z, double t) {
        double r714400 = 1.0;
        double r714401 = 8.0;
        double r714402 = r714400 / r714401;
        double r714403 = x;
        double r714404 = r714402 * r714403;
        double r714405 = y;
        double r714406 = z;
        double r714407 = r714405 * r714406;
        double r714408 = 2.0;
        double r714409 = r714407 / r714408;
        double r714410 = r714404 - r714409;
        double r714411 = t;
        double r714412 = r714410 + r714411;
        return r714412;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

2. Final simplification 0.0

   \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

Reproduce

herbie shell --seed 2020024 +o rules:numerics
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))